QuantumUtils

I am one of the lead developers of QuantumUtils for Mathematica: a Mathematica software library for symbolic and numerical simulations of quantum systems, and various tools useful for quantum information science.

Some features of this library include:

Multi-partite tensor manipulations.

Quantum system modeling including qudits, circuits, spins, and cavities.

Symbolic Lie algebra simplification for spin and cavity systems.

Quantum channels in multiple representations.

Numerical and symbolic simulators for open and closed quantum system evolution.

An implementation of GRadient Ascent Pulse Engineering including distortions.

Perturbative expansion tools such as the Magnus series, the Zassenhaus formula, and matrix power series